Reflections on dipolar quantum fluids

We present a thermodynamic description of ultracold gases with dipolar interactions which properly accounts for the long-range nature and broken rotation invariance of the interactions. It involves an additional thermodynamic field conjugate to the linear extension of the gas along the direction of...

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Main Author: Zwerger, Wilhelm
Format: Article
Language:English
Published: Académie des sciences 2024-12-01
Series:Comptes Rendus. Physique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.222/
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author Zwerger, Wilhelm
author_facet Zwerger, Wilhelm
author_sort Zwerger, Wilhelm
collection DOAJ
description We present a thermodynamic description of ultracold gases with dipolar interactions which properly accounts for the long-range nature and broken rotation invariance of the interactions. It involves an additional thermodynamic field conjugate to the linear extension of the gas along the direction of the dipoles. The associated uniaxial pressure shows up as a deviation from the Gibbs–Duhem relation in the density profile of a trapped gas. It has to vanish in self-bound droplets, a condition which determines the observed dependence of the aspect ratio on particle number. A tensorial generalization of the virial theorem and a number of further exact thermodynamic relations are derived. Finally, extending a model due to Nozières, a simple criterion for the freezing transition to a superfluid mass density wave is given.
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spelling doaj-art-049b24c261784eaaa5aaf4db09811fe92025-02-07T13:53:46ZengAcadémie des sciencesComptes Rendus. Physique1878-15352024-12-0125G138941310.5802/crphys.22210.5802/crphys.222Reflections on dipolar quantum fluidsZwerger, Wilhelm0https://orcid.org/0000-0003-3502-8209Physik Department TU München, James Franck Strasse, 85748 Garching, GermanyWe present a thermodynamic description of ultracold gases with dipolar interactions which properly accounts for the long-range nature and broken rotation invariance of the interactions. It involves an additional thermodynamic field conjugate to the linear extension of the gas along the direction of the dipoles. The associated uniaxial pressure shows up as a deviation from the Gibbs–Duhem relation in the density profile of a trapped gas. It has to vanish in self-bound droplets, a condition which determines the observed dependence of the aspect ratio on particle number. A tensorial generalization of the virial theorem and a number of further exact thermodynamic relations are derived. Finally, extending a model due to Nozières, a simple criterion for the freezing transition to a superfluid mass density wave is given.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.222/Ultracold atomsDipolar fluidsSupersolidsThermodynamic limitLong-range interactions
spellingShingle Zwerger, Wilhelm
Reflections on dipolar quantum fluids
Comptes Rendus. Physique
Ultracold atoms
Dipolar fluids
Supersolids
Thermodynamic limit
Long-range interactions
title Reflections on dipolar quantum fluids
title_full Reflections on dipolar quantum fluids
title_fullStr Reflections on dipolar quantum fluids
title_full_unstemmed Reflections on dipolar quantum fluids
title_short Reflections on dipolar quantum fluids
title_sort reflections on dipolar quantum fluids
topic Ultracold atoms
Dipolar fluids
Supersolids
Thermodynamic limit
Long-range interactions
url https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.222/
work_keys_str_mv AT zwergerwilhelm reflectionsondipolarquantumfluids